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Finding the Fourth Proportional to 411.46, 617.70 and 409.59

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Solution

The fourth proportional to 411.46, 617.70 and 409.59 is: 614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.46 : 617.70 = 409.59 : x
  2. Step 2: Convert to fraction form
    411.46/617.70 = 409.59/x
  3. Step 3: Cross multiply
    411.46x = 617.70 × 409.59
  4. Step 4: Simplify right side
    411.46x = 253,000.65
  5. Step 5: Solve for x
    x = 253,000.65/411.46
  6. Step 6: Final answer
    x = 614.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.